a) A k-out-of-n system is one that will function if and only if at least k...

a) A k-out-of-n system is one that will function if and only if at least k of the n individual components in the system function. If individual components function independently of one another, each with probability 0.8, what is the probability that a 4-out-of-6 system functions?

b) Obtain ?(?(?−2)) where ? ~???????(?)

c) Service calls arrive at a maintenance center according to a Poisson process, with average 3.1 calls per minute.

(i) Obtain the probability that no more than 4 calls arrive in a minute.

(ii) Obtain the probability that more than 7 calls arrive in a three-minute interval

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orchestra answered 1 year ago

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